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3 years ago

If f(x)=2x(With an exponent of 2) -3, find f(-2)

Mathematics

2 answers:

Ratling [72]3 years ago

8 0

Answer:

f(-2) = 5

Step-by-step explanation:

We just need to substitute x with -2 and simplify.

f(x) = 2x² - 3

f(-2) = 2(-2)² - 3

f(-2) = 2(4) - 3

f(-2) = 8 - 3

f(-2) = 5

Best of Luck!

Mrac [35]3 years ago

3 0

Answer:

Step-by-step explanation:

Put -2 where x is and do the arithmetic.

f(x) = 2x² -3

f(-2) = 2(-2)² -3 = 2(-2)(-2) -3 = 8 -3

f(-2) = 5

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A manufacturer has cube shaped cardboard boxes with an exact volume of 12000 cubic inches. What is the volum of the largest sphe

vladimir1956 [14]

Answer:

6283 in³

Step-by-step explanation:

The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.

Since the cardboard box is in the shape of a cube, its volume V = L³

So, L = ∛V

Since V = 12000 in³,

L = ∛(12000 in³)

L= 22.89 in

So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2

So, V = 4π(L/2)³/3

= 4πL³/8 × 3

= πL³/2 × 3

= πL³/6

= πV/6

= π12000/6

= 2000π

= 6283.19 in³

≅ 6283.2 in³

= 6283 in³ to the nearest whole cubic inch

6 0

3 years ago

What is the anwser to 3(2t+5)=5t+25

Elena L [17]

3(2t+5)=5t+25

Multiply the bracket with 3

(3)(2t)(3)(5)=5t+25

6t+15=5t+25

Move 5t to the other side. Sign changes from +5t to -5t

6t-5t+15=5t-5t+25

6t-5t+15=25

Move +15 to the other side. Sign changes from +15 to -15

6t-5t+15-15=25-15

6t-5t=10

1t=10

divide by 1

1/1t=10/t

t=10

Answer: t=10

6 0

3 years ago

Read 2 more answers

PLEASE HELP! I WILL GIVE BRAINLIEST!!!! (no trolls) PLEASE SHOW WORK OR GIVE EXPLANATION!!!!!!

IgorLugansk [536]

explanation:

The fastest way to find the missing endpoint is to determine the distance from the known endpoint to the midpoint and then performing the same transformation on the midpoint. In this case, the x-coordinate moves from 4 to 2, or down by 2, so the new x-coordinate must be 2-2 = 0. The y-coordinate moves from 4 to -5, or down by 9, so the new y-coordinate must be -5-9 = -14.

An alternate solution would be to substitute (4,4) for (x1,y1) and (2,-5) for (x,y) into the midpoint formula:

x=(x1+x2)/2

y=(y1+y2)/2

Solving each equation for (x2,y2) yields the solution (0,-14).

please mark me as brainliest

8 0

3 years ago

Read 2 more answers

a rectangular prism has a volume of 810 cubic meters. it has a length of 10 meters and a width of 9 meters. What is the height o

Ainat [17]

Answer:

The height of the prism is 9 meters

Step-by-step explanation:

* Lets describe the rectangular prism

- The rectangular prism has six rectangular faces

- Two of them are bases and the other four are side faces

- The rectangular prism has three dimensions length, width , height

- The volume of any prism = Area of the base × its height

∵ The base of the rectangular prism is a rectangle

∵ Area any rectangle = length × width

∴ The volume of the rectangular prism V = length × width × height

* Lets solve the problem

∵ The volume of the prism is 810 meter³

∵ Its length is 10 meter

∵ Its width is 9 meters

∵ V = length × width × height

- Substitute the values of the volume , the length and the width in

the equation of V

∴ 810 = 10 × 9 × h

∴ 810 = 90 × h

- Divide both sides by 90

∴ 9 = h

∴ The height of the prism is 9 meters

6 0

3 years ago

02.06)If 1 pint is equal to 2 cups, then 5 pints would equal ___ cups.

lawyer [7]

If 1 pint equals 2 cups then 5 pints equals 10 cups
Because 5 times 2 equals 10. Hope this helps.

8 0

3 years ago